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Let h(x)="min "{x,x^(2)} for every real ...

Let `h(x)="min "{x,x^(2)}` for every real number of x. Then, which one of the following is true?
(a) h is not continuous for all x
(b) h is differentiable for all x
(c) `h'(x)=1`, for all x
(d) h is not differentiable at two values of x.

A

h is continuous for all x

B

h is differentiable for all x

C

`h'(x)=1 "for all " x gt 1`

D

h is not differentiable at two values of x

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